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For a first order reaction half life period t(1/2)is independent of initial concentration of its reacting species. By deriving the equation for t(1/2)of first order reaction, prove that t_(1/2)is independent of initial concentration of its reacting species.

Answer»

SOLUTION :For a FIRST order reaction,`k=2.303/tlog[[R_0]]/[[R]]`When t=`t_(1/2)[R]=[[R_0]]/2,`
`t_(1/2)=2.303/k LOG([[R_0]]/[[R_0]])/2 `
`2.303/klog2=(2.303xx0.3010)/k
thereforet^(1/2)=0.693/k`


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